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anygoal [31]
4 years ago
12

an indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. on

e bucket dumps water every 16 minutes. the other bucket dumps water every 14 minutes. it is currently 3:25 p.m. and both buckets dumped water 5 minutes ago. find the next two times that both buckets dump water at the same time.
Mathematics
1 answer:
frosja888 [35]4 years ago
4 0
Here is the solution of the given problem above.
Bucket A: dumps every 16 minutes
Bucket B: dumps every 14 minutes
Last time they both dump water: 3:20p.m.
The first thing we need to do is to find the LCM.
14 and 16 / 2 = 7 and 8.
LCM: 2x7x8 = 112 minutes from the last time and this is equivalent to 1 hour and 52 minutes. So 3: 20 p.m + 1: 52 p.m = 4: 72 
since there are only 60 minutes in an hour, the result would be 5: 12P.M.
So the first time that they dump water is at 5:12 P.M
Next, 5: 12 p.m + 1 hour and 52 minutes is 6:64 which gives us 7:04 pm. Therefore, the next two times that both buckets dump water at the same time are 5:12 P.M and 7:04 P.M. Hope this answer helps.


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Marat540 [252]

Answer:

the value of  line ST is 6 centimeters long

Step-by-step explanation:

The attached image in conjunction with the question is shown in the file below.

We can see from the RT segment that the equation given can be expressed as:

\mathbf{2x+3x = 10}

so; if we solve for x ; we have ;

\mathbf{5x= 10}

divide both sides by 5 ; we have:

\mathbf{\dfrac{5x}{5}= \dfrac{10}{5}}

\mathbf{x=2}

However ; the value of ST is represent by the information:

\mathbf{ ST = 3x}

replcaing the value for x; we have :

\mathbf{ ST = 3*2}

\mathbf{ ST = 6}

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4 0
3 years ago
Please help me im stuck here U_U
Viefleur [7K]

Using the inverse function concept, the table that represents the inverse of the table given is table a.

<h3>How to find the inverse of a function of pairs (x,y)?</h3>

The inverse of the function is given by the set that contains point (y,x), that is, the coordinates are exchanged.

In the table given, we have points (0,0), (2,1) and (4,2), hence the inverse table has points (0,0), (1,2) and (2,4), which is table a.

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8 0
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kondaur [170]
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8 0
3 years ago
Read 2 more answers
(09.01)
ratelena [41]

Answer:

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Step-by-step explanation:

Axis of symmetry = - b /2a

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x = 2/2 = 1

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x = - (-4) / 2(1)

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a = 1 ; b = 4

x = - 4 / 2(1)

x = - 4/2 = - 2

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x = 4/2 = 2

6 0
3 years ago
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Julli [10]

To find how much the temperature fell we must find the difference of both numbers and to do this we subtract them;

20 - (-5) = 25 degrees

7 0
3 years ago
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